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How (and why) to take a logarithm of an image How (and why) to take a logarithm of an image 45 хв The Mysterious Swiss Lake Monster | Fascinating Horror Shorts The Mysterious Swiss Lake Monster | Fascinating Horror Shorts 1 хв FORECAST FORECAST 4 хв The Unsolved Mystery of The Oakville Blobs | Fascinating Horror Shorts The Unsolved Mystery of The Oakville Blobs | Fascinating Horror Shorts 1 хв Feed the Dogs for Me Feed the Dogs for Me 2 хв What is a "Body Farm"? | Fascinating Horror Shorts What is a "Body Farm"? | Fascinating Horror Shorts 1 хв The DJI Pocket 4 & 4P Just Got a BIG Update! The DJI Pocket 4 & 4P Just Got a BIG Update! 9 хв Tears in the Rain Tears in the Rain 3 хв All the Best Memories Are Hers All the Best Memories Are Hers 4 хв The Most Interesting Displays In The World! The Most Interesting Displays In The World! 16 хв They Left The Tourist Trail: Kris Kremers and Lisanne Froon | Fascinating Horror They Left The Tourist Trail: Kris Kremers and Lisanne Froon | Fascinating Horror 11 хв LORN - PAWO LORN - PAWO 3 хв Defunctland: The Bizarre Garfield Dark Ride Defunctland: The Bizarre Garfield Dark Ride 34 хв This photo, hidden for 80 years, exposed an affair and a potential sibling. Can I find them?! This photo, hidden for 80 years, exposed an affair and a potential sibling. Can I find them?! 35 хв Why I quit my smartphone (and how the first month went) Why I quit my smartphone (and how the first month went) 34 хв The Handwich: Disney's Failed Sandwich of the Future The Handwich: Disney's Failed Sandwich of the Future 24 хв Mr Bean Tries to SCARE Irma at the Cinema 🍿 | Mr Bean Live Action | Funny Clips | Mr Bean Mr Bean Tries to SCARE Irma at the Cinema 🍿 | Mr Bean Live Action | Funny Clips | Mr Bean 1 хв DeepSeek Just Made AI Memory 4x Smaller! DeepSeek Just Made AI Memory 4x Smaller! 6 хв One Lens to Rule Them All! (and It's Cheap) One Lens to Rule Them All! (and It's Cheap) 9 хв The vulnpocalypse might not be so bad after all The vulnpocalypse might not be so bad after all 34 хв A 1,000,000,000 Particle Simulation! 🌊 A 1,000,000,000 Particle Simulation! 🌊 1 хв Rethinking the ROI of cybersecurity Rethinking the ROI of cybersecurity 1 хв Why won’t AI agents just follow the rules? Why won’t AI agents just follow the rules? 36 хв Anthropic reveals hardware specs and Claude updates, OpenAI talks security, and Runway's new model Anthropic reveals hardware specs and Claude updates, OpenAI talks security, and Runway's new model 35 хв Traditional Business Owner vs AI-Powered Owner #shorts Traditional Business Owner vs AI-Powered Owner #shorts 1 хв The Awful Origins of "Sweet FA" | Fascinating Horror Shorts The Awful Origins of "Sweet FA" | Fascinating Horror Shorts 1 хв Code Quality in the Age of AI: Why Great Code Isn't Enough Code Quality in the Age of AI: Why Great Code Isn't Enough 14 хв Insta360 X6 vs Luna Ultra: Best Vlogging Camera? Insta360 X6 vs Luna Ultra: Best Vlogging Camera? 20 хв Skills vs MCP vs RAG vs Memory: What AI Agents Need to Know Skills vs MCP vs RAG vs Memory: What AI Agents Need to Know 10 хв Mount Wilshire: The Volcano That Almost Destroyed LA | Fascinating Horror Mount Wilshire: The Volcano That Almost Destroyed LA | Fascinating Horror 11 хв 5 Ways to Connect AI Agents to Tools: From APIs to MCP 5 Ways to Connect AI Agents to Tools: From APIs to MCP 12 хв Apple's $599 laptop is surprising Apple's $599 laptop is surprising 1 хв Genius idea... Bad execution Genius idea... Bad execution 1 хв ELITE Camera Work ELITE Camera Work 1 хв MEMORY MANAGEMENT MEMORY MANAGEMENT 4 хв The Gaming Market is Starting to Break. The Gaming Market is Starting to Break. 23 хв Why Fitbit Air Could Be Huge Why Fitbit Air Could Be Huge 1 хв What's the Use What's the Use 3 хв Steam Machine Review Steam Machine Review 1 хв The Wildest Camera Robot The Wildest Camera Robot 2 хв LORN - NEGATIVE JUMPSUIT LORN - NEGATIVE JUMPSUIT 4 хв Thomas, a tank engine, is not Thomas the Tank Engine. Thomas, a tank engine, is not Thomas the Tank Engine. 18 хв Every Samsung Phone. SAME Photo! Every Samsung Phone. SAME Photo! 1 хв The Hunt for Xesh The Hunt for Xesh 34 хв Flying a plane badly, on purpose. Flying a plane badly, on purpose. 18 хв Former LTT employee Shares a Memorable Linus Story Former LTT employee Shares a Memorable Linus Story 1 хв Hello from inside a tiny boat. Hello from inside a tiny boat. 24 хв SEXTANT SEXTANT 2 хв Creators Share Embarrassing Stories of Linus Creators Share Embarrassing Stories of Linus 1 хв These Earbuds have a World Record These Earbuds have a World Record 1 хв Sea Wall Sea Wall 10 хв

How (and why) to take a logarithm of an image

2026 45 хв

Escher's Print Gallery, and the tour of complex analysis it invites. Explore our virtual career fair: https://3b1b.co/talent Join channel supporters to see videos early: https://3b1b.co/support An equally valuable form of support is to share the videos. Home page: https://www.3blue1brown.com Original paper by de Smit and Lenstra: https://pub.math.leidenuniv.nl/~smitbde/papers/2003-de_smit-lenstra-escher.pdf The book I was showing is "Magic of MC Escher" by J. L. Locher https://amzn.to/4d7zXTT If you want to play with this concept interactively, Jürgen Richter-Gebert put together a nice page: https://mathvisuals.org/PrintGallery/ This piece was co-written by Paul Dancstep, who handled many of the animations in the art section, including the delightful mesh warp scene. Aaron Gostein helped with the manim animations in the section introducing complex functions. Artwork provided by Talia Gershon, Mitchell Zemil, and Anna Fedczuk. https://sites.google.com/view/taliagershon https://mitchellzemil.com/ https://anna-fedczuk.framer.website/about Music by Vincent Rubinetti Timestamps: 0:00 - The print gallery 13:04 - Conformal maps from complex analysis 21:41 - The complex exponential 25:56 - The complex logarithm 32:32 - 3b1b Talent 33:14 - Constructing the key function 40:16 - The deeper math behind Escher Correction: at 18:10, the function graph does not match the function definition that appears in the top right corner: f(x) = x^3 + 3x^2 - x - 4. Instead of -4, there should be -3: f(x) = x^3 + 3x^2 - x - 3. ------------------ These animations are largely made using a custom Python library, manim. See the FAQ comments here: https://3b1b.co/faq#manim ------------------ 3blue1brown is a channel about animating math, in all senses of the word animate. If you're reading the bottom of a video description, I'm guessing you're more interested than the average viewer in lessons here. It would mean a lot to me if you chose to stay up to date on new ones, either by subscribing here on YouTube or otherwise following on whichever platform below you check most regularly. Mailing list: https://3blue1brown.substack.com Twitter: https://twitter.com/3blue1brown Bluesky: https://bsky.app/profile/3blue1brown.com Instagram: https://www.instagram.com/3blue1brown Reddit: https://www.reddit.com/r/3blue1brown Facebook: https://www.facebook.com/3blue1brown Patreon: https://patreon.com/3blue1brown Website: https://www.3blue1brown.com

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Щомісячна участь

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Регулярне місце в моєму контенті. Підписники потрапляють у чергу — або у випадковий розіграш, коли підписників більше, ніж слотів, — і з'являються в самому відео, у титрах або в описі.

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Гарантоване розміщення — нове відео

разово

Гарантована поява щонайменше 10 секунд у моєму наступному відео. Ціна залежить від того, куди у часі потрапляє вставка.

Ціна за запитом

  • Перші 1–3 хвилини
  • Середина відео
  • Кінець відео
Увійдіть, щоб надіслати запит

Гарантоване розміщення — Short

разово

Гарантована поява щонайменше 10 секунд у Short, нарізаному з одного з моїх існуючих відео.

Ціна за запитом

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